Pandas Profiling Report

Dataset statistics

Number of variables	8
Number of observations	5863014
Missing cells	0
Missing cells (%)	0.0%
Duplicate rows	0
Duplicate rows (%)	0.0%
Total size in memory	357.9 MiB
Average record size in memory	64.0 B

Variable types

NUM	8

Warnings

`p_t_vis_1` has unique values	Unique
`p_t_vis_2` has unique values	Unique

Reproduction

Analysis started	2020-11-30 07:43:55.269189
Analysis finished	2020-11-30 07:50:15.888358
Duration	6 minutes and 20.62 seconds
Software version	pandas-profiling v2.9.0
Download configuration	config.yaml

sv_x_1
Real number (ℝ)

Distinct	5701019
Distinct (%)	97.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.0002446417092
Minimum	-19.95230865
Maximum	22.21428871
Zeros	12
Zeros (%)	< 0.1%
Memory size	44.7 MiB

Quantile statistics

Minimum	-19.95230865
5-th percentile	-0.5788607717
Q1	-0.1201764792
median	3.731343895e-06
Q3	0.1200574189
95-th percentile	0.5806857497
Maximum	22.21428871
Range	42.16659737
Interquartile range (IQR)	0.2402338982

Descriptive statistics

Standard deviation	0.4179645129
Coefficient of variation (CV)	1708.476099
Kurtosis	37.91111022
Mean	0.0002446417092
Median Absolute Deviation (MAD)	0.1201185174
Skewness	0.1182086152
Sum	1434.337766
Variance	0.174694334
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	12	< 0.1%
0.331188947	4	< 0.1%
-0.04635670781	4	< 0.1%
0.01779793203	4	< 0.1%
0.2514414489	4	< 0.1%
0.1485469639	4	< 0.1%
-0.2604726553	4	< 0.1%
-0.4217190146	4	< 0.1%
-0.06470321119	4	< 0.1%
-0.142794162	4	< 0.1%
0.2938860655	4	< 0.1%
-0.04102692753	4	< 0.1%
0.1935519278	4	< 0.1%
-0.07952810824	4	< 0.1%
-0.4572742581	4	< 0.1%
-0.08864177018	4	< 0.1%
0.2859352827	4	< 0.1%
0.08546698838	4	< 0.1%
-1.202755928	4	< 0.1%
-0.05911249295	4	< 0.1%
0.2777745128	4	< 0.1%
0.07369092852	4	< 0.1%
-0.008864834905	4	< 0.1%
0.1794166863	4	< 0.1%
-0.3425612748	4	< 0.1%
Other values (5700994)	5862906	> 99.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
-19.95230865	1	< 0.1%
-16.89748955	1	< 0.1%
-15.89257908	1	< 0.1%
-15.56843472	1	< 0.1%
-15.15325451	1	< 0.1%
-15.00718117	1	< 0.1%
-14.14197063	1	< 0.1%
-14.00798225	1	< 0.1%
-13.87487316	1	< 0.1%
-13.14356422	1	< 0.1%

Value	Count	Frequency (%)
22.21428871	1	< 0.1%
18.40273285	1	< 0.1%
17.79675293	1	< 0.1%
16.82258797	1	< 0.1%
16.54777336	1	< 0.1%
15.01085949	1	< 0.1%
14.87780571	1	< 0.1%
13.90963173	1	< 0.1%
12.60430527	1	< 0.1%
12.19886494	1	< 0.1%

sv_y_1
Real number (ℝ)

Distinct	5647327
Distinct (%)	96.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	0.0002027701762
Minimum	-23.09705544
Maximum	19.20538712
Zeros	12
Zeros (%)	< 0.1%
Memory size	44.7 MiB

Quantile statistics

Minimum	-23.09705544
5-th percentile	-0.5787646413
Q1	-0.1198664308
median	-5.943700671e-06
Q3	0.1199434586
95-th percentile	0.5804248899
Maximum	19.20538712
Range	42.30244255
Interquartile range (IQR)	0.2398098893

Descriptive statistics

Standard deviation	0.4177841625
Coefficient of variation (CV)	2060.382697
Kurtosis	36.27257786
Mean	0.0002027701762
Median Absolute Deviation (MAD)	0.1199057754
Skewness	0.08525363388
Sum	1188.844382
Variance	0.1745436064
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	12	< 0.1%
-4.981458187e-05	6	< 0.1%
-0.0006847381592	5	< 0.1%
-0.003088027239	5	< 0.1%
-0.0008279830217	5	< 0.1%
-0.0008096396923	5	< 0.1%
0.001240774989	5	< 0.1%
2.129375935e-05	5	< 0.1%
8.73208046e-05	5	< 0.1%
-0.0001573860645	5	< 0.1%
-0.06530818343	5	< 0.1%
-9.603798389e-05	5	< 0.1%
9.496510029e-05	5	< 0.1%
0.003267452121	5	< 0.1%
0.001190766692	5	< 0.1%
-0.000438913703	5	< 0.1%
-6.555020809e-05	5	< 0.1%
-0.006390705705	4	< 0.1%
-0.001604601741	4	< 0.1%
0.1355684102	4	< 0.1%
0.002071261406	4	< 0.1%
0.1564401984	4	< 0.1%
-0.006863504648	4	< 0.1%
0.06677801907	4	< 0.1%
-0.0002140849829	4	< 0.1%
Other values (5647302)	5862889	> 99.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
-23.09705544	1	< 0.1%
-13.96907234	1	< 0.1%
-13.06146908	1	< 0.1%
-13.03571129	1	< 0.1%
-12.8873539	1	< 0.1%
-12.15678787	1	< 0.1%
-12.0312252	1	< 0.1%
-11.89009571	1	< 0.1%
-11.70975685	1	< 0.1%
-11.58790016	1	< 0.1%

Value	Count	Frequency (%)
19.20538712	1	< 0.1%
18.81658745	1	< 0.1%
17.090168	1	< 0.1%
17.06333351	1	< 0.1%
16.16741753	1	< 0.1%
15.38654518	1	< 0.1%
13.32428455	1	< 0.1%
13.14563847	1	< 0.1%
12.69900608	1	< 0.1%
12.56838322	1	< 0.1%

sv_z_1
Real number (ℝ)

Distinct	4439079
Distinct (%)	75.7%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	-0.0003523229496
Minimum	-75.28164673
Maximum	46.86742401
Zeros	41
Zeros (%)	< 0.1%
Memory size	44.7 MiB

Quantile statistics

Minimum	-75.28164673
5-th percentile	-1.339442307
Q1	-0.2003314793
median	-1.859664917e-05
Q3	0.199906826
95-th percentile	1.336519092
Maximum	46.86742401
Range	122.1490707
Interquartile range (IQR)	0.4002383053

Descriptive statistics

Standard deviation	1.069870718
Coefficient of variation (CV)	-3036.61944
Kurtosis	52.27733106
Mean	-0.0003523229496
Median Absolute Deviation (MAD)	0.200122498
Skewness	-0.06590174981
Sum	-2065.674386
Variance	1.144623353
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	41	< 0.1%
2.861022949e-06	24	< 0.1%
-1.14440918e-05	24	< 0.1%
-1.430511475e-06	23	< 0.1%
5.626678467e-05	23	< 0.1%
-0.0003871917725	21	< 0.1%
-2.813339233e-05	21	< 0.1%
-0.0005483627319	21	< 0.1%
-0.000205039978	21	< 0.1%
-5.722045898e-06	21	< 0.1%
-9.632110596e-05	20	< 0.1%
-6.675720215e-06	20	< 0.1%
-8.106231689e-06	20	< 0.1%
8.106231689e-06	20	< 0.1%
4.768371582e-06	20	< 0.1%
-1.71661377e-05	20	< 0.1%
-5.81741333e-05	20	< 0.1%
1.907348633e-06	20	< 0.1%
-1.049041748e-05	20	< 0.1%
2.574920654e-05	20	< 0.1%
-0.0001859664917	20	< 0.1%
4.768371582e-07	19	< 0.1%
-6.38961792e-05	19	< 0.1%
-0.0001335144043	19	< 0.1%
-0.0002918243408	19	< 0.1%
Other values (4439054)	5862478	> 99.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
-75.28164673	1	< 0.1%
-54.59345627	1	< 0.1%
-50.19379425	1	< 0.1%
-47.04916382	1	< 0.1%
-39.88470459	1	< 0.1%
-37.46429062	1	< 0.1%
-34.18960571	1	< 0.1%
-33.54391861	1	< 0.1%
-33.39282608	1	< 0.1%
-33.33330536	1	< 0.1%

Value	Count	Frequency (%)
46.86742401	1	< 0.1%
40.83952332	1	< 0.1%
39.6812439	1	< 0.1%
38.19394684	1	< 0.1%
37.08368301	1	< 0.1%
36.52804947	1	< 0.1%
35.9955368	1	< 0.1%
35.19943237	1	< 0.1%
35.0152626	1	< 0.1%
34.17871857	1	< 0.1%

sv_x_2
Real number (ℝ)

Distinct	5701779
Distinct (%)	97.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	8.032575049e-05
Minimum	-27.17522049
Maximum	22.15626717
Zeros	2
Zeros (%)	< 0.1%
Memory size	44.7 MiB

Quantile statistics

Minimum	-27.17522049
5-th percentile	-0.5817135245
Q1	-0.1188049316
median	-8.115544915e-06
Q3	0.1190067958
95-th percentile	0.5813378572
Maximum	22.15626717
Range	49.33148766
Interquartile range (IQR)	0.2378117274

Descriptive statistics

Standard deviation	0.4202702168
Coefficient of variation (CV)	5232.07333
Kurtosis	42.76985174
Mean	8.032575049e-05
Median Absolute Deviation (MAD)	0.1189099699
Skewness	-0.04238955891
Sum	470.9509997
Variance	0.1766270552
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
-0.03051775694	5	< 0.1%
-0.2084047198	4	< 0.1%
-0.03266096115	4	< 0.1%
0.002174198627	4	< 0.1%
0.1293505877	4	< 0.1%
-0.1467832923	4	< 0.1%
-0.21851331	4	< 0.1%
-0.0001392960548	4	< 0.1%
-0.0002393871546	4	< 0.1%
-0.3083022535	4	< 0.1%
-0.0002166107297	4	< 0.1%
-0.02174436301	4	< 0.1%
0.1083830744	4	< 0.1%
0.5851612687	4	< 0.1%
-0.1259142756	4	< 0.1%
0.2180934399	4	< 0.1%
0.2443097234	4	< 0.1%
0.140327692	4	< 0.1%
0.04795198888	4	< 0.1%
-0.0721758455	4	< 0.1%
-0.07935704291	4	< 0.1%
0.1389439404	4	< 0.1%
-0.1977507174	4	< 0.1%
1.822412014e-05	4	< 0.1%
-0.1486317515	4	< 0.1%
Other values (5701754)	5862913	> 99.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
-27.17522049	1	< 0.1%
-17.2600174	1	< 0.1%
-17.1227951	1	< 0.1%
-16.73379135	1	< 0.1%
-16.7086792	1	< 0.1%
-16.39861107	1	< 0.1%
-16.09244919	1	< 0.1%
-15.75941658	1	< 0.1%
-15.20872021	1	< 0.1%
-14.21480274	1	< 0.1%

Value	Count	Frequency (%)
22.15626717	1	< 0.1%
19.72455215	1	< 0.1%
19.47718811	1	< 0.1%
18.10756874	1	< 0.1%
15.5589962	1	< 0.1%
14.77682686	1	< 0.1%
14.13148117	1	< 0.1%
14.10219765	1	< 0.1%
13.98993874	1	< 0.1%
12.96756744	1	< 0.1%

sv_y_2
Real number (ℝ)

Distinct	5645816
Distinct (%)	96.3%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	5.297711617e-05
Minimum	-24.42358208
Maximum	18.51883698
Zeros	4
Zeros (%)	< 0.1%
Memory size	44.7 MiB

Quantile statistics

Minimum	-24.42358208
5-th percentile	-0.5827077448
Q1	-0.1188236214
median	4.302710295e-06
Q3	0.1191416215
95-th percentile	0.5816628546
Maximum	18.51883698
Range	42.94241905
Interquartile range (IQR)	0.2379652429

Descriptive statistics

Standard deviation	0.4195247442
Coefficient of variation (CV)	7918.980392
Kurtosis	36.86754728
Mean	5.297711617e-05
Median Absolute Deviation (MAD)	0.1189795993
Skewness	0.07848117704
Sum	310.6055738
Variance	0.176001011
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0.02382709086	5	< 0.1%
-0.0004294216633	5	< 0.1%
-0.001440986991	5	< 0.1%
0.004689246416	5	< 0.1%
-1.79335475e-05	5	< 0.1%
0.0001616925001	5	< 0.1%
0.009951874614	5	< 0.1%
0.002068057656	5	< 0.1%
-0.001521751285	5	< 0.1%
-0.001864984632	5	< 0.1%
9.882450104e-05	5	< 0.1%
0.00195863843	5	< 0.1%
-0.001976698637	5	< 0.1%
0.001411691308	5	< 0.1%
-0.001784592867	5	< 0.1%
0.0014988482	5	< 0.1%
0.00996221602	5	< 0.1%
0.1019963771	4	< 0.1%
-0.1907868981	4	< 0.1%
-0.002984911203	4	< 0.1%
0.02205950022	4	< 0.1%
-0.001812040806	4	< 0.1%
-0.002330854535	4	< 0.1%
-0.005127489567	4	< 0.1%
-0.1678472459	4	< 0.1%
Other values (5645791)	5862897	> 99.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
-24.42358208	1	< 0.1%
-16.87700844	1	< 0.1%
-14.25949383	1	< 0.1%
-13.41429234	1	< 0.1%
-13.2502594	1	< 0.1%
-12.97197342	1	< 0.1%
-12.63814735	1	< 0.1%
-11.94017887	1	< 0.1%
-11.54024792	1	< 0.1%
-11.35221195	1	< 0.1%

Value	Count	Frequency (%)
18.51883698	1	< 0.1%
16.41994286	1	< 0.1%
15.25724792	1	< 0.1%
15.19156933	1	< 0.1%
14.85486412	1	< 0.1%
14.216712	1	< 0.1%
14.02113438	1	< 0.1%
13.3127203	1	< 0.1%
13.03768826	1	< 0.1%
12.8479147	1	< 0.1%

sv_z_2
Real number (ℝ)

Distinct	4465449
Distinct (%)	76.2%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	-0.000233997507
Minimum	-132.0452728
Maximum	134.4137115
Zeros	25
Zeros (%)	< 0.1%
Memory size	44.7 MiB

Quantile statistics

Minimum	-132.0452728
5-th percentile	-1.387030482
Q1	-0.2061831653
median	-1.430511475e-05
Q3	0.2054956332
95-th percentile	1.385781324
Maximum	134.4137115
Range	266.4589844
Interquartile range (IQR)	0.4116787985

Descriptive statistics

Standard deviation	1.236014105
Coefficient of variation (CV)	-5282.167835
Kurtosis	361.4626708
Mean	-0.000233997507
Median Absolute Deviation (MAD)	0.2058486938
Skewness	0.5402940788
Sum	-1371.93066
Variance	1.527730868
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
0	25	< 0.1%
-2.861022949e-06	24	< 0.1%
-9.536743164e-07	23	< 0.1%
-4.768371582e-07	22	< 0.1%
4.577636719e-05	22	< 0.1%
-1.621246338e-05	22	< 0.1%
-2.479553223e-05	21	< 0.1%
-0.0001077651978	21	< 0.1%
9.536743164e-07	21	< 0.1%
8.964538574e-05	21	< 0.1%
-0.0001850128174	20	< 0.1%
1.525878906e-05	20	< 0.1%
0.0002937316895	20	< 0.1%
0.0001983642578	20	< 0.1%
9.441375732e-05	19	< 0.1%
8.106231689e-06	19	< 0.1%
6.675720215e-06	19	< 0.1%
6.294250488e-05	19	< 0.1%
9.536743164e-06	19	< 0.1%
-1.430511475e-05	19	< 0.1%
-0.0001335144043	18	< 0.1%
-3.242492676e-05	18	< 0.1%
-0.0002069473267	18	< 0.1%
2.861022949e-06	18	< 0.1%
-0.0005693435669	18	< 0.1%
Other values (4465424)	5862508	> 99.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
-132.0452728	1	< 0.1%
-99.50283813	1	< 0.1%
-95.85018921	1	< 0.1%
-93.48719788	1	< 0.1%
-91.16713715	1	< 0.1%
-88.22518921	1	< 0.1%
-86.88487244	1	< 0.1%
-85.62693024	1	< 0.1%
-82.80230713	1	< 0.1%
-80.23782349	1	< 0.1%

Value	Count	Frequency (%)
134.4137115	1	< 0.1%
131.5656586	1	< 0.1%
116.2348785	1	< 0.1%
109.226387	1	< 0.1%
106.6209259	1	< 0.1%
102.1007233	1	< 0.1%
100.7445602	1	< 0.1%
95.81751251	1	< 0.1%
89.77375793	1	< 0.1%
83.44948578	1	< 0.1%

p_t_vis_1
Real number (ℝ_≥0)

UNIQUE

Distinct	5863014
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	100.8019413
Minimum	0.02586738243
Maximum	2541.851816
Zeros	0
Zeros (%)	0.0%
Memory size	44.7 MiB

Quantile statistics

Minimum	0.02586738243
5-th percentile	36.64026692
Q1	52.1872514
median	75.66707106
Q3	123.6020144
95-th percentile	245.8841433
Maximum	2541.851816
Range	2541.825949
Interquartile range (IQR)	71.414763

Descriptive statistics

Standard deviation	76.56432612
Coefficient of variation (CV)	0.7595520995
Kurtosis	18.86732979
Mean	100.8019413
Median Absolute Deviation (MAD)	28.96641922
Skewness	3.006351939
Sum	591003192.8
Variance	5862.096034
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
66.3440112	1	< 0.1%
81.45308087	1	< 0.1%
40.67040701	1	< 0.1%
163.4411317	1	< 0.1%
93.49651287	1	< 0.1%
125.4929998	1	< 0.1%
75.80500765	1	< 0.1%
49.83967948	1	< 0.1%
138.1726259	1	< 0.1%
190.5264728	1	< 0.1%
60.25751017	1	< 0.1%
64.52963557	1	< 0.1%
52.54442823	1	< 0.1%
107.061834	1	< 0.1%
178.1764533	1	< 0.1%
300.2790326	1	< 0.1%
36.01826859	1	< 0.1%
213.3202588	1	< 0.1%
79.87841915	1	< 0.1%
248.1449451	1	< 0.1%
187.7727093	1	< 0.1%
41.44195027	1	< 0.1%
54.6958952	1	< 0.1%
32.26582394	1	< 0.1%
88.68473387	1	< 0.1%
Other values (5862989)	5862989	> 99.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.02586738243	1	< 0.1%
0.1009378756	1	< 0.1%
0.1306259694	1	< 0.1%
0.1405383796	1	< 0.1%
0.1528662831	1	< 0.1%
0.1631203269	1	< 0.1%
0.1668463462	1	< 0.1%
0.173893899	1	< 0.1%
0.1941082639	1	< 0.1%
0.2123358682	1	< 0.1%

Value	Count	Frequency (%)
2541.851816	1	< 0.1%
2173.023273	1	< 0.1%
2173.012424	1	< 0.1%
2170.682467	1	< 0.1%
2103.140284	1	< 0.1%
2058.107567	1	< 0.1%
2055.162629	1	< 0.1%
1991.899402	1	< 0.1%
1958.124128	1	< 0.1%
1852.047037	1	< 0.1%

p_t_vis_2
Real number (ℝ_≥0)

UNIQUE

Distinct	5863014
Distinct (%)	100.0%
Missing	0
Missing (%)	0.0%
Infinite	0
Infinite (%)	0.0%

Mean	101.4265086
Minimum	0.01332170947
Maximum	3734.552375
Zeros	0
Zeros (%)	0.0%
Memory size	44.7 MiB

Quantile statistics

Minimum	0.01332170947
5-th percentile	36.70132823
Q1	52.48200575
median	76.16637443
Q3	124.7360844
95-th percentile	248.0951704
Maximum	3734.552375
Range	3734.539054
Interquartile range (IQR)	72.25407866

Descriptive statistics

Standard deviation	78.11631194
Coefficient of variation (CV)	0.7701764857
Kurtosis	23.78496867
Mean	101.4265086
Median Absolute Deviation (MAD)	29.25413625
Skewness	3.158468583
Sum	594665039.8
Variance	6102.158191
Monotocity	Not monotonic

Histogram with fixed size bins (bins=50)

Value	Count	Frequency (%)
73.22482397	1	< 0.1%
59.83541822	1	< 0.1%
133.3701889	1	< 0.1%
255.1547779	1	< 0.1%
112.1498718	1	< 0.1%
7.619512802	1	< 0.1%
20.31300887	1	< 0.1%
136.814408	1	< 0.1%
93.56310719	1	< 0.1%
333.8272574	1	< 0.1%
67.2734165	1	< 0.1%
81.6045558	1	< 0.1%
44.14665776	1	< 0.1%
156.9174234	1	< 0.1%
76.05637107	1	< 0.1%
113.5036676	1	< 0.1%
58.77014603	1	< 0.1%
267.3447647	1	< 0.1%
143.7932372	1	< 0.1%
47.60138775	1	< 0.1%
86.32643953	1	< 0.1%
137.5181863	1	< 0.1%
68.65873129	1	< 0.1%
85.02371655	1	< 0.1%
70.68728012	1	< 0.1%
Other values (5862989)	5862989	> 99.9%

Minimum 5 values
Maximum 5 values

Value	Count	Frequency (%)
0.01332170947	1	< 0.1%
0.0409893174	1	< 0.1%
0.04353435707	1	< 0.1%
0.04623922173	1	< 0.1%
0.05092556226	1	< 0.1%
0.05511336583	1	< 0.1%
0.05846279278	1	< 0.1%
0.06457173341	1	< 0.1%
0.06870826309	1	< 0.1%
0.07120767174	1	< 0.1%

Value	Count	Frequency (%)
3734.552375	1	< 0.1%
3175.170018	1	< 0.1%
3145.662063	1	< 0.1%
2740.767183	1	< 0.1%
2652.070194	1	< 0.1%
2538.038505	1	< 0.1%
2486.902728	1	< 0.1%
2450.050754	1	< 0.1%
2421.673712	1	< 0.1%
2408.071252	1	< 0.1%

Pearson's r

The Pearson's correlation coefficient (r) is a measure of linear correlation between two variables. It's value lies between -1 and +1, -1 indicating total negative linear correlation, 0 indicating no linear correlation and 1 indicating total positive linear correlation. Furthermore, r is invariant under separate changes in location and scale of the two variables, implying that for a linear function the angle to the x-axis does not affect r.

To calculate r for two variables X and Y, one divides the covariance of X and Y by the product of their standard deviations.

Spearman's ρ

The Spearman's rank correlation coefficient (ρ) is a measure of monotonic correlation between two variables, and is therefore better in catching nonlinear monotonic correlations than Pearson's r. It's value lies between -1 and +1, -1 indicating total negative monotonic correlation, 0 indicating no monotonic correlation and 1 indicating total positive monotonic correlation.

To calculate ρ for two variables X and Y, one divides the covariance of the rank variables of X and Y by the product of their standard deviations.

Kendall's τ

Similarly to Spearman's rank correlation coefficient, the Kendall rank correlation coefficient (τ) measures ordinal association between two variables. It's value lies between -1 and +1, -1 indicating total negative correlation, 0 indicating no correlation and 1 indicating total positive correlation.

To calculate τ for two variables X and Y, one determines the number of concordant and discordant pairs of observations. τ is given by the number of concordant pairs minus the discordant pairs divided by the total number of pairs.

Phik (φk)

Phik (φk) is a new and practical correlation coefficient that works consistently between categorical, ordinal and interval variables, captures non-linear dependency and reverts to the Pearson correlation coefficient in case of a bivariate normal input distribution. There is extensive documentation available here.

Count
Matrix

First rows

	sv_x_1	sv_y_1	sv_z_1	sv_x_2	sv_y_2	sv_z_2	p_t_vis_1	p_t_vis_2
0	0.023583	0.019393	0.005763	-0.581665	-0.513909	0.018126	33.753041	52.583766
1	0.264949	-0.061602	-0.161944	-0.120283	-0.045656	-0.260196	37.600309	127.553300
2	0.238845	0.233997	0.112015	-0.280071	0.057288	0.059971	59.091590	67.625778
3	-0.005463	0.055390	0.092998	0.429833	-1.008276	3.836661	65.426963	145.224950
4	0.066919	0.085073	-0.095757	0.065669	0.054346	0.027046	56.050964	80.801777
5	-0.120108	0.099172	-0.178877	0.113925	-0.092769	-0.437077	83.218779	128.657979
6	0.198050	0.059860	0.352347	-0.093828	-0.066279	0.317293	135.957500	102.965963
7	0.102937	-0.083549	0.053707	-0.216166	0.148508	0.085763	43.157780	50.276410
8	0.258645	-0.114208	-0.215292	-0.022894	0.022106	-0.041710	42.011754	78.981413
9	0.234155	-0.281528	1.579283	-0.305916	0.395407	1.754387	222.673875	158.471221

Last rows

	sv_x_1	sv_y_1	sv_z_1	sv_x_2	sv_y_2	sv_z_2	p_t_vis_1	p_t_vis_2
5863004	0.350872	-0.079026	1.186877	-0.009211	0.031813	0.027618	149.568746	53.201092
5863005	0.126302	-1.416215	2.494135	0.061598	0.001154	0.050598	93.966797	70.720492
5863006	0.237066	-0.077540	0.696777	-0.003176	0.006155	0.003661	195.890403	43.742224
5863007	-0.011880	0.043657	0.059585	-0.065304	-0.083570	0.221236	113.399669	114.933981
5863008	-0.206547	-1.320174	-0.840416	-0.052679	-0.027292	-0.005714	76.297871	41.280920
5863009	0.052236	0.014528	0.003133	0.584650	0.334812	-0.711920	69.400115	279.673862
5863010	0.005442	0.009449	-0.000291	0.112904	-0.323324	0.006656	97.107399	37.961199
5863011	0.025354	-0.009183	0.022112	0.017088	0.004278	-0.028219	46.205814	86.167163
5863012	-0.030071	0.223568	0.407931	-0.386126	-0.197205	1.091975	80.176336	169.524357
5863013	0.046878	-0.206266	-0.120727	0.120289	-0.073203	-0.212698	153.087912	129.565796

Overview

Variables

Interactions

Correlations

Pearson's r

Spearman's ρ

Kendall's τ

Phik (φk)

Missing values

Sample

First rows

Last rows